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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Submodular Functions: Extensions, Distributions, and Algorithms
子模块函数 扩展 分布 算法
2023/5/8
Submodularity is a fundamental phenomenon in combinatorial optimization. Submodular functions occur in a variety of combinatorial settings such as coverage problems, cut problems, welfare maximization...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Oka manifolds and applications (I
奥卡歧管 奥卡流形理论 奥卡-格雷特理论
2023/5/10
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Maximizing Approximately Non-k-Submodular Monotone Set Function with Matroid Constraint
最大化 矩阵约束 近似非k子模 单调集函数
2023/5/12
Utilizing approximation algorithm, there has been a large quantity of work on optimization for submodular functions since the 1970s. As a variant, $k$-submodular function appears in many fields to mat...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Streaming algorithm for submodular cover problem
子模块化 覆盖问题 流算法
2023/5/15
In this work, we mainly investigate the problem that minimizes the price function such that the valuation function exceeds a required threshold in submodular cover problem, where the price function is...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Paley-Wiener type theorems and their applications
Paley-Wiener型定理 Clifford代数环境 函数空间
2023/5/15
In this talk I will briefly introduce some Paley-Wiener type theorems in the Clifford algebra setting. The PW type theorems are related to a decomposition of some function spaces. Using the PW type th...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On scattering for NLS on waveguide manifolds（III）
NLS 波导流形 散射
2023/5/16
In these series talks, we will give an overview for a direction of NLS results: long time behavior for NLS on waveguide manifolds (semiperiodic spaces). We will discuss the main ideas, main tools to h...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Oka manifolds and applications (I)
奥卡流形 应用 复流形
2023/5/16
In this series of talks, I will present some recent developments in the theory of Oka manifolds and their applications. After a brief review of the classical Oka-Grauert theory, I shall recall the not...